Compound of two truncated tetrahedra
From HandWiki
Short description: Polyhedral compound
Compound of two truncated tetrahedra | |
---|---|
![]() | |
Type | Uniform compound |
Index | UC54 |
Schläfli symbol | a2{4,3} |
Coxeter diagram | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Polyhedra | 2 truncated tetrahedra |
Faces | 8 triangles 8 hexagons |
Edges | 36 |
Vertices | 24 |
Symmetry group | octahedral (Oh) [4,3] |
Subgroup restricting to one constituent |
tetrahedral (Td) [3,3] |
This uniform polyhedron compound is a composition of two truncated tetrahedra, formed by truncating each of the tetrahedra in the stellated octahedron. It is related to the cantic cube construction of the truncated tetrahedron, as , which is one of the two dual positions represented in this compound.
The vertex arrangement is the same as a convex, but nonuniform rhombicuboctahedron having 12 rectangular faces.
References
- Skilling, John (1976), "Uniform Compounds of Uniform Polyhedra", Mathematical Proceedings of the Cambridge Philosophical Society 79 (3): 447–457, doi:10.1017/S0305004100052440.
![]() | Original source: https://en.wikipedia.org/wiki/Compound of two truncated tetrahedra.
Read more |